Perimeter of a rectangle is 2 metre less than 2 / 5 of the perimeter of a square if the perimeter of a square is 40 find the length and breadth of the rectangle given that the breadth is 1/3 of the length.
Answers
Given, perimeter of square = 40 m
perimeter of rectangle = 2/5 ( perimeter of square ) - 2.4
= 2/5 ( 40 ) - 2.4
= 13.6 m
Let, the length of rectangle = x
the breadth of rectangle = x/3
Perimeter of the rectangle = 2 ( length + breadth )
= 2 ( x + x/3 )
= 2 ( 3x/3 + x/3 )
= 2 ( 4x/3 )
= 8x/3
We have found the perimeter of the rectangle through the perimeter of square.
Let's equate them both,
8x/3 = 13.6
8x = 13.6 * 3
8x = 40.8
x = 40.8 / 8
x = 5.1 m
∴ Length of the rectangle = 5.1 m
Breadth of the rectangle = 5.1 / 3 = 1.7 m